Tricky Problems in Algebra, Geometry and Mathematical Analysis
Tricky Problems in Algebra, Geometry and Mathematical Analysis
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- 6th grade
Cliff has 3 cookies and Eren has 4 cookies. Byron has joined their feast by paying 7 dollars. Everyone had the same number of cookies. How should the dollars be distributed between Cliff and Eren?
Hint or Answer
- 5th grade
David attends a class where more than 93% of students are girls. What is the minimal possible number of students in the class?
Hint or Answer
- 9th grade
From number N, subtract the sum of its digits, obtain the number N1. Then repeat the procedure for N1, get N2, and so on, repeat 11 times to get the first 0 in a sequence of numbers Ni. What was the original number N?
Hint or Answer
- 6-7th grade
You have two buckets holding 7 and 8 gallons repectively, and an unlimited water supply, e.g. river. Can you show how using only these two buckets you will measure exactly 4 gallons of water?
Hint or Answer
- 1-2nd grade
In the following picture, remove the number of matches shown to the left of every figure, to get the number of squares with side of length equal to 1 match shown to the right of the same figure. No dangling matches are allowed.
Hint or Answer
- 7-8th grade
Show that every function f(x) can be represented as a sum of an odd function and an even function.
Hint or Answer
- 10th-11th grade or collegee
You have a K sets with N elements from the universe U. The size of U is finite and equal to M. Discuss different ways of finding the set union of these elements. Which one is the fastest?
Hint or Answer
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